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487213760 = 26511212583
BaseRepresentation
bin11101000010100…
…100101011000000
31020221210000122002
4131002210223000
51444211320020
6120202403132
715034151165
oct3502445300
91227700562
10487213760
11230023a00
121172004a8
1379c29287
14489c806c
152cb8e975
hex1d0a4ac0

487213760 has 84 divisors (see below), whose sum is σ = 1275338064. Its totient is φ = 177154560.

The previous prime is 487213757. The next prime is 487213781. The reversal of 487213760 is 67312784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32429 + ... + 45011.

It is an arithmetic number, because the mean of its divisors is an integer number (15182596).

Almost surely, 2487213760 is an apocalyptic number.

487213760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637669032).

487213760 is an abundant number, since it is smaller than the sum of its proper divisors (788124304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

487213760 is a wasteful number, since it uses less digits than its factorization.

487213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12622 (or 12601 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 487213760 is about 22072.9191544752. The cubic root of 487213760 is about 786.8763908255.

The spelling of 487213760 in words is "four hundred eighty-seven million, two hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 7744 9680 12583 19360 25166 38720 50332 62915 100664 125830 138413 201328 251660 276826 402656 503320 553652 692065 805312 1006640 1107304 1384130 1522543 2013280 2214608 2768260 3045086 4026560 4429216 5536520 6090172 7612715 8858432 11073040 12180344 15225430 22146080 24360688 30450860 44292160 48721376 60901720 97442752 121803440 243606880 487213760